Reference : Graded geometry in gauge theories and beyond |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/23193 | |||

Graded geometry in gauge theories and beyond | |

English | |

Salnikov, Vladimir [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

2015 | |

Journal of Geometry and Physics | |

Elsevier Science | |

Yes (verified by ORBi^{lu}) | |

International | |

0393-0440 | |

Amsterdam | |

The Netherlands | |

[en] Q-manifolds ; Equivariant Cohomology ; Gauging ; Twisted Poisson Sigma Model ; Courant Algebroids | |

[en] We study some graded geometric constructions appearing naturally in the context of gauge
theories. Inspired by a known relation of gauging with equivariant cohomology we generalize the latter notion to the case of arbitrary Q -manifolds introducing thus the concept of equivariant Q -cohomology. Using this concept we describe a procedure for analysis of gauge symmetries of given functionals as well as for constructing functionals (sigma models) invariant under an action of some gauge group. As the main example of application of these constructions we consider the twisted Poisson sigma model. We obtain it by a gauging-type procedure of the action of an essentially infinite dimensional group and describe its symmetries in terms of classical differential geometry. We comment on other possible applications of the described concept including the analysis of supersymmetric gauge theories and higher structures. | |

http://hdl.handle.net/10993/23193 |

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